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《Chinese Journal of Geophysics》 1999-01
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RECURRENCE RELATIONS OF THE SURFACE SPHERICAL HARMONICS IN THE DEVELOPMENT OF THE TIDAL GENERATING POTENTIAL

XI QIN-WEN; ( Center for Analysis and Prediction, Chinese Seismological Bureau,Beijing 100036,China)  
A fully normalized associated Legendre function has been defined by author forthe development of the tidal generating potential, and a set of recurrence relations ofthe surface spherical harmonica has been deduced from the recurrence relations of the Legendre function and the Chebyshev polynomial. According to that the programs fordevelopment of the tide generating potential (TGP) have been developed, so thedevelopment of the TGP can be rapidly doen in less than 10 minutes on a 586 PC. The fully normalized associated Legendre function has taken an effect of thenormalization, so lt is not necessary to adopt the Doodson normalization, even if onehas to use that it is also not necessary to adopt a decimal value, an integer valuesapproximating to that are enough. The fully normalized associated Legendre functionmay be used to instead of the Doodson mormalization, Using the recurrence relationswill make the expression of the tide potential simple and standard. In this paper someimpotent problems on high preciesion tidal data processing are discussed.A mistakedue to recalculating the Doodson constant is pointed. The identity of the referencesystem of the celestial body and the station is discussed also.
【Fund】: 国家自然科学基金
【CateGory Index】: P312.4
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【References】
Chinese Journal Full-text Database 2 Hits
1 ZHANG Han-wei1, XU Hou-ze1, LIU Xue-qian2(1. Xuzhou normal university, Department of Territory Information and Mapping Engineering, Xuzhou 221116, China;2. Institute of Geodesy and Geophysics , Chinese Academy of Sciences, Wuhan 430077, China;3. Seismological bureau of Henan province, Zhengzhou 450000, China);Basic theory and numerical result of the love number of solid earth tide[J];Progress In Geophysics;2004-02
2 XI Qin-WenInstitute of Earthquake Science,China Earthquake Administration,Beijing 100036,China;Expansion of tidal generating potential in different normalizations and their conversion[J];Chinese Journal of Geophysics;2007-01
【Co-references】
Chinese Journal Full-text Database 7 Hits
1 Peng Longhui Li Guoying Hsu Houtze (Institute of Geodesy and Geophysics, Academia Sinica, Wuhan,430077);ANALYSIS OF TIDAL SOLUTION IN CORE[J];ACTA GEODAETICA ET CARTOGRAPHIC SINICA;1998-04
2 XI QIN-WEN HOU TIAN-HANG (Center for Analysis and Prediction, State Seismological Bureau, Beijing);A NEW COMPLETE DEVELOPMENT OF THE TIDEGENERATING POTENTIAL FOR THE EPOCH J2000.0[J];Chinese Journal of Geophysics;1987-04
3 XI QIN-WEN (Center for Analysis and Prediction, State Seismological Bureau, Beijing 100036);THE EVALUATION ON THE PRECISION OF THE DEVELOP- MENT OF THE TIDAL GENERATING POTENTIAL[J];Chinese Journal of Geophysics;1992-02
4 XU HO-ZE;ZHANG C1-JUN(Institute ofGeodesy and Geophysics,Chinese Academy of Sciences, Wuhan 430074, China);DEVELOPMENT OF THE STUDIES ON GEODETIC GRAVITY AND EARTH TIDES IN CHINA[J];Chinese Journal of Geophysics;1997-S1
5 LI GUO-YING;PENG LONG-HUI; XU HOU-ZE(Institute of Geodesy and Geophysics , Academia Sinica,Wuhan 430077, China);TIDAL DEFORMATION OF A SELF-ROTATING,ELLIPTICAL, HETEROGENEOUS EARTH[J];Chinese Journal of Geophysics;1996-05
6 HSU Hou tze SUN He ping ( Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077);PROGRESS STATUS OF THE EXPERIMENTAL STUDY ON TIDAL GRAVITY IN CHINA[J];ADVANCE IN EARTH SCIENCES;1998-05
7 LI Jun, LI Tong-hua ( Department of Chemistry, Tongji University, Shanghai 200092, China);The Application of Spherical Harmonic in the Matching and Docking of Protein[J];Computers and Applied Chemistry;2002-Z1
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